Question

The approximate circumference of a circle is 70 feet. What is the radius of the circle rounded to the nearest hundredth? Use 3.14 for π.

Answer 1

To find the radius of a circle given the circumference, we can use the formula for the circumference of a circle:

\[
C = 2\pi r
\]

where \( C \) is the circumference and \( r \) is the radius.

Given that the circumference \( C \) is 70 feet, we can rearrange the formula to solve for the radius \( r \):

\[
r = \frac{C}{2\pi}
\]

Now, substituting \( C = 70 \) feet and \( \pi \approx 3.14 \):

\[
r = \frac{70}{2 \times 3.14}
\]

Calculating the denominator:

\[
2 \times 3.14 = 6.28
\]

Now substituting this back into the equation for \( r \):

\[
r = \frac{70}{6.28}
\]

Calculating the radius:

\[
r \approx 11.12
\]

So, the radius of the circle, rounded to the nearest hundredth, is approximately **11.12 feet**.